4445407008 has 252 divisors, whose sum is σ = 15268106070. Its totient is φ = 1269789696.

The previous prime is 4445406997. The next prime is 4445407009. The reversal of 4445407008 is 8007045444.

4445407008 is a `hidden beast` number, since 4 + 44 + 540 + 70 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3388636944 + 1056770064 = 58212^2 + 32508^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4445407009) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1141128 + ... + 1145016.

Almost surely, 2^4445407008 is an apocalyptic number.

4445407008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4445407008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634053035).

4445407008 is an abundant number, since it is smaller than the sum of its proper divisors (10822699062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4445407008 is an equidigital number, since it uses as much as digits as its factorization.

4445407008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4445407008 is about 66673.8855024964. The cubic root of 4445407008 is about 1644.2600686124.

The spelling of 4445407008 in words is "four billion, four hundred forty-five million, four hundred seven thousand, eight".